刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 March 2017
年:2017
卷:447
期:1
页码:666-680
全文大小:350 K
文摘
We present some generalizations of quantum information inequalities involving tracial positive linear maps between 9b55801c7ca7f6e76d" title="Click to view the MathML source">C⁎-algebras. Among several results, we establish a noncommutative Heisenberg uncertainty relation. More precisely, we show that if b62f1e129dc47a24a8475ca94a4" title="Click to view the MathML source">Φ:A→B is a tracial positive linear map between 9b55801c7ca7f6e76d" title="Click to view the MathML source">C⁎-algebras, 8ec04f9dbcb8de633be" title="Click to view the MathML source">ρ∈A is a Φ-density element and b69eb53bc605" title="Click to view the MathML source">A,B are self-adjoint operators of a78c29dce004b7de59916" title="Click to view the MathML source">A such that b63b6bac84c54935d71534d76"> for some scalers 0<m<M, then under some conditions